Aye but...
...it really doesn't work like that.
Imagine a narrow tube stretched from London to New York. The bore diameter is the size of a dried pea. The tube is completely filled with dried peas (electrons). Then an extra dried pea (electron) is slowly shoved into the end at London. At the other end in New York, a dried pea immediately but slowly emerges. Movement is slow but action is immediate.
Dogs